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Finding the Fourth Proportional to 22,964.40, 31,695 and 13,532.40

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Solution

The fourth proportional to 22,964.40, 31,695 and 13,532.40 is: 18,677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.40 : 31,695 = 13,532.40 : x
  2. Step 2: Convert to fraction form
    22,964.40/31,695 = 13,532.40/x
  3. Step 3: Cross multiply
    22,964.40x = 31,695 × 13,532.40
  4. Step 4: Simplify right side
    22,964.40x = 428,909,418
  5. Step 5: Solve for x
    x = 428,909,418/22,964.40
  6. Step 6: Final answer
    x = 18,677.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.